131612444200 has 24 divisors (see below), whose sum is σ = 305998933230. Its totient is φ = 52644977600.

The previous prime is 131612444179. The next prime is 131612444261. The reversal of 131612444200 is 2444216131.

It can be written as a sum of positive squares in 3 ways, for example, as 72816863716 + 58795580484 = 269846^2 + 242478^2 .

It is a super-2 number, since 2×131612444200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 329030911 + ... + 329031310.

Almost surely, 2^131612444200 is an apocalyptic number.

131612444200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131612444200 is an abundant number, since it is smaller than the sum of its proper divisors (174386489030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131612444200 is a wasteful number, since it uses less digits than its factorization.

131612444200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658062237 (or 658062228 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 131612444200 in words is "one hundred thirty-one billion, six hundred twelve million, four hundred forty-four thousand, two hundred".